The aim of the exploratory method research centered on the presence of mathematical tools in STEM through three main questions: Is mathematics an essential tool in the field of STEM? Can mathematics complete projects solely with mathematical and digital tools? Does understanding mathematical modeling affect STEM teaching? A better understanding of…

This paper addresses how secondary students might reason about amounts of change in covarying quantities. Two empirically based forms of covariational reasoning are distinguished. The first form-- reasoning about quantities as varying simultaneously and independently--supports tandem comparison of amounts of change. The second form--coordination…

European cooperation is a relevant subject that contributes to building a competitive network of high education institutions. A case of teacher mobility on behalf of the Erasmus programme is presented: it considers some Operations Research topics and the development of the Lego on My Decision module. The module considers eight lecture hours in…

This study examined the impact of teachers' characteristics and self-reported practices on students' Algebra achievement while controlling for students' characteristics. This study is based on the secondary analysis of data collected from a nationally representative sample of 9 th grade students and their mathematics teachers during…

Application of quadratic equations to standard problem in chemistry like finding equilibrium concentrations of ions in an acid solution is explained. This clearly shows that pure mathematical analysis has meaningful applications in other areas as well.

A question as to the number of stitches needed for a particular triangular crocheted scarf gives rise to the use of several methods of solution including arithmetic series. (MN)

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)

Presented are several geometrical and graphical methods of solving quadratic equations. Discussed are Greek origins, Carlyle's method, von Staudt's method, fixed graph methods and imaginary solutions. (CW)

Considers the random sum SN+X1+X2+...+XN with a stopping rule N=min((n: SN absorbing Markov chain. (AIM)

This article develops an algorithm to find all solutions to the problem, making all sums of a hexagram's nine lines the same. It shows how to exploit the geometric structure of the hexagram and its group of automorphisms. (YP)

Describes the successful use of a computer algebra system (CAS) with a student as he worked on a problem involving functions far more difficult than he had previously encountered. (Author/NB)

This article presents 12 examples of the use of a calculator in the algebra class. The calculator codes and the mathematical formulas of the examples are presented in the appendix. (Author/YP)

This booklet is a collection of 45 problems that have appeared in the Problem Department of the journal "School Science and Mathematics." The booklet is divided into four parts. The first part presents 20 cryptarithms, puzzles in which letters or symbols are substituted for the digits in an arithmetical calculation, that require knowledge of…

Presented are ideas for the utilization of Microsoft Works in the secondary mathematics classroom. The spreadsheet and graphing capabilities of this software package are demonstrated for several topics including the concept of slope for first year algebra, and creating and interpreting graphs for a general mathematics class. (Author/CW)

Defines arithmetic, harmonic, and weighted harmonic means, and discusses their properties. Describes the application of these properties in problems involving fuel economy estimates and average rates of motion. Gives example problems and solutions. (CW)